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916782923313 = 32383326575729
BaseRepresentation
bin11010101011101001000…
…01010011111000110001
310020122101011210220220200
431111310201103320301
5110010032412021223
61541055251425413
7123143510162055
oct15256441237061
93218334726820
10916782923313
11323895072554
121298188b5269
13685b57c656a
1432530319c65
1518caab24a43
hexd574853e31

916782923313 has 12 divisors (see below), whose sum is σ = 1324587534660. Its totient is φ = 611029138176.

The previous prime is 916782923299. The next prime is 916782923317. The reversal of 916782923313 is 313329287619.

916782923313 is a `hidden beast` number, since 9 + 16 + 7 + 8 + 292 + 331 + 3 = 666.

916782923313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 304121366784 + 612661556529 = 551472^2 + 782727^2 .

It is not a de Polignac number, because 916782923313 - 213 = 916782915121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 916782923313.

It is not an unprimeable number, because it can be changed into a prime (916782923317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13253368 + ... + 13322361.

It is an arithmetic number, because the mean of its divisors is an integer number (110382294555).

Almost surely, 2916782923313 is an apocalyptic number.

It is an amenable number.

916782923313 is a deficient number, since it is larger than the sum of its proper divisors (407804611347).

916782923313 is a wasteful number, since it uses less digits than its factorization.

916782923313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26579568 (or 26579565 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 916782923313 in words is "nine hundred sixteen billion, seven hundred eighty-two million, nine hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 3 9 3833 11499 34497 26575729 79727187 239181561 101864769257 305594307771 916782923313